full
search.png

Search

close.png

Cancel

arrow
Volume 23, Issue 1
Superconvergence of Tetrahedral Quadratic Finite Elements

Jan Brandts & Michal Křížek

J. Comp. Math., 23 (2005), pp. 27-36.

Published online: 2005-02

Preview Full PDF 3014 25457

Cited by

google scholar semantic scholar
Export citation
  • Abstract

For a model elliptic boundary value problem we will prove that on strongly regular families of uniform tetrahedral partitions of a pohyhedral domain, the gradient of the quadratic finite element approximation is superclose to the gradient of the quadratic Lagrange interpolant of the exact solution. This supercloseness will be used to construct a post-processing that increases the order of approximation to the gradient in the global $L^2$-norm.

  • Keywords

Tetrahedron, Superconvergence, Supercloseness, Post-processing, Gauss points.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-23-27, author = {Brandts , Jan and Křížek , Michal}, title = {Superconvergence of Tetrahedral Quadratic Finite Elements}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {1}, pages = {27--36}, abstract = {

For a model elliptic boundary value problem we will prove that on strongly regular families of uniform tetrahedral partitions of a pohyhedral domain, the gradient of the quadratic finite element approximation is superclose to the gradient of the quadratic Lagrange interpolant of the exact solution. This supercloseness will be used to construct a post-processing that increases the order of approximation to the gradient in the global $L^2$-norm.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8793.html} }
TY - JOUR T1 - Superconvergence of Tetrahedral Quadratic Finite Elements AU - Brandts , Jan AU - Křížek , Michal JO - Journal of Computational Mathematics VL - 1 SP - 27 EP - 36 PY - 2005 DA - 2005/02 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8793.html KW - Tetrahedron, Superconvergence, Supercloseness, Post-processing, Gauss points. AB -

For a model elliptic boundary value problem we will prove that on strongly regular families of uniform tetrahedral partitions of a pohyhedral domain, the gradient of the quadratic finite element approximation is superclose to the gradient of the quadratic Lagrange interpolant of the exact solution. This supercloseness will be used to construct a post-processing that increases the order of approximation to the gradient in the global $L^2$-norm.

Brandts , Jan and Křížek , Michal. (2005). Superconvergence of Tetrahedral Quadratic Finite Elements. Journal of Computational Mathematics. 23 (1). 27-36. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard